Global dynamics of the Rössler system with conserved quantities

DOI10.1088/1751-8113/44/36/365201zbMath1232.34019OpenAlexW2093434142MaRDI QIDQ3173031

Jaume Llibre, Maurício Firmino Silva Lima

Publication date: 10 October 2011

Published in: Journal of Physics A: Mathematical and Theoretical (Search for Journal in Brave)

Full work available at URL: http://ddd.uab.cat/record/150411

zbMATH Keywords

dynamicsorbitsfirst integralsPoincaré compactificationPoincaré sphereintegrable Rössler system

Mathematics Subject Classification ID

Periodic solutions to ordinary differential equations (34C25) Topological structure of integral curves, singular points, limit cycles of ordinary differential equations (34C05) Nonlinear ordinary differential equations and systems (34A34) Homoclinic and heteroclinic solutions to ordinary differential equations (34C37)

Related Items (5)

Integrable deformations of Rössler and Lorenz systems from Poisson-Lie groups ⋮ Global dynamics of the generalized Lorenz systems having invariant algebraic surfaces ⋮ Global dynamical behavior of Fitzhugh-Nagumo systems with invariant algebraic surfaces ⋮ On the completely integrable case of the Rössler system ⋮ Jacobi Stability Analysis of Rössler System

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